No, it won't. Python is a scripting language that is more composable than Go or Rust and can even be optimized for inference just as well, at least in theory. LLM inference doesn't necessitate a strong type system which actually gives Python a bit of an advantage for less complex programs.
The only places where Go and Rust take the lead is optimizing the non-AI code that you write. That's still a valuable advantage, but it's not going to displace the use case for Python on it's own.